<u>Answer:</u>
<u>Step-by-step explanation:</u>
- <em>When we listen to the word "quotient", it means the solution to a division problem. </em>
- <em>An unknown number that has been multiplied by 2 is in the numerator because it came before the 7 in the statement. </em>
- <em>The number "7" is in the denominator because it came after the 2x in the statement. </em>
- <em>The word "is" represents an equal sign.</em>
- <em>The solution to the division problem (quotient) is 20. </em>
<u><em>If we put these clues together, we get 2x/7 = 20 as our translated equation.</em></u>
<u>Hence, our algebraic statement is 2x/7 = 20. The key is to listen to the statement. </u>

We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.
From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words,
.
We also know that E=5% or E=0.05
Also, since,
is not given, we will assume that
=0.5. This is because, the formula that we use will have
in the expression and that will be maximum only when
=0.5. (For any other value of
, we will get a value less than 0.25. For example if,
is 0.4, then
and thus,
.).
We will now use the formula

We will now substitute all the data that we have and we will get



which can approximated to n=271.
So, the brand manager needs a sample size of 271
Answer:
38 km
Step-by-step explanation:
1. The formula to find the area of a trapezoid is
, where a and b are the bases and h is the height.
2. To find the area, all we have to do is plug in these values and simplify!
3. (Solving)
Therefore, the area is 38 km.
4 Aces, 4 2's, 4 3's 4 4's
= 16 cards total out of 52 cards
so probability would be 16/52 which reduces to 4/13